Finite Group Databasebeta

← Group #13180561

Character table — Group #13180561

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order123633662443366224661212121212124466612121212122412121212264226666662446666224661212121212124466612121212122412121212264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-11111-1-11111111-111-1-1-1-111-1-11-1-111111111111111111-11111-1-11111111-111-1-1-1-111-1-11-1-1
χ3111111111-1-1111111111-1-111-1-1-1-11111-1-1111-1-1-1-1-111-1111111111-1-1111111111-1-111-1-1-1-11111-1-1111-1-1-1-1-111-1
χ4111111111-1-1111111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11111111111-1-1111111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11
χ511111111-1111111111-1-1111111-1-111-111111-11-1-111-1-1-111111111-1111111111-1-1111111-1-111-111111-11-1-111-1-1-1
χ611111111-111111111-1-1-111-1-111-1-111-1-111-1-11-1-1-1-1-1-11111111111-111111111-1-1-111-1-111-1-111-1-111-1-11-1-1-1-1-1-111
χ711111111-1-1-11111111-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-1111111111-1-1-11111111-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-11
χ811111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ9222222222002222-2-202200000000-2-2200000000000-200222222222002222-2-202200000000-2-2200000000000-200
χ1022222222-2002222-2-20-2-200000000-2-2-20000000000020022222222-2002222-2-20-2-200000000-2-2-200000000000200
χ1122-1-12222022-1-1-1-122200-1-1-1-12200-1-102-1-1-1-10200-1-100022-1-12222022-1-1-1-122200-1-1-1-12200-1-102-1-1-1-10200-1-1000
χ1222-1-12222022-1-1-1-122-200-1-1112200-1-10-2-1-1110-2001100022-1-12222022-1-1-1-122-200-1-1112200-1-10-2-1-1110-20011000
χ1322-1-122220-2-2-1-1-1-12220011-1-1-2-200-1-10211-1-10-2001100022-1-122220-2-2-1-1-1-12220011-1-1-2-200-1-10211-1-10-20011000
χ1422-1-122220-2-2-1-1-1-122-2001111-2-200-1-10-211110200-1-100022-1-122220-2-2-1-1-1-122-2001111-2-200-1-10-211110200-1-1000
χ152-22-222-2-200022-2-2-220000000002i−2i2-2000000002i−2i000002-22-222-2-200022-2-2-220000000002i−2i2-2000000002i−2i00000
χ162-22-222-2-200022-2-2-22000000000−2i2i2-200000000−2i2i000002-22-222-2-200022-2-2-22000000000−2i2i2-200000000−2i2i00000
χ172-22-222-2-202i−2i22-2-22-20002i−2i002i−2i00-22002i−2i000000000002-22-222-2-202i−2i22-2-22-20002i−2i002i−2i00-22002i−2i00000000000
χ182-22-222-2-20−2i2i22-2-22-2000−2i2i00−2i2i00-2200−2i2i000000000002-22-222-2-20−2i2i22-2-22-2000−2i2i00−2i2i00-2200−2i2i00000000000
χ192-2-1122-2-202i−2i-1-1112-2000−ii3−32i−2i001-100−ii3−30000−i3i30002-2-1122-2-202i−2i-1-1112-2000−ii3−32i−2i001-100−ii3−30000−i3i3000
χ202-2-1122-2-202i−2i-1-1112-2000−ii−332i−2i001-100−ii−330000i3−i30002-2-1122-2-202i−2i-1-1112-2000−ii−332i−2i001-100−ii−330000i3−i3000
χ212-2-1122-2-20−2i2i-1-1112-2000i−i3−3−2i2i001-100i−i3−30000i3−i30002-2-1122-2-20−2i2i-1-1112-2000i−i3−3−2i2i001-100i−i3−30000i3−i3000
χ222-2-1122-2-20−2i2i-1-1112-2000i−i−33−2i2i001-100i−i−330000−i3i30002-2-1122-2-20−2i2i-1-1112-2000i−i−33−2i2i001-100i−i−330000−i3i3000
χ2344441-2-214221-21-2000112200-1-12200-20-1-10000-1-10000044441-2-214221-21-2000112200-1-12200-20-1-10000-1-100000
χ2444441-2-214-2-21-21-200011-2-20011-2-200-20110000110000044441-2-214-2-21-21-200011-2-20011-2-200-201100001100000
χ2544441-2-21-4221-21-2000-1-12200-1-1-2-20020-1-10000110000044441-2-21-4221-21-2000-1-12200-1-1-2-20020-1-100001100000
χ2644441-2-21-4-2-21-21-2000-1-1-2-20011220020110000-1-10000044441-2-21-4-2-21-21-2000-1-1-2-20011220020110000-1-100000
χ274444-211-2400-21-21002-2-200220000001-100-1-12000000-104444-211-2400-21-21002-2-200220000001-100-1-12000000-10
χ284444-211-2400-21-2100-2-2-200-2-2000000110011-2000000104444-211-2400-21-2100-2-2-200-2-2000000110011-200000010
χ294444-211-2-400-21-21002220022000000-1-100-1-1-2000000104444-211-2-400-21-21002220022000000-1-100-1-1-200000010
χ304444-211-2-400-21-2100-22200-2-2000000-1100112000000-104444-211-2-400-21-2100-22200-2-2000000-1100112000000-10
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-41-22-102i−2i1-2-120003-32i−2i00−ii2i−2i0000−ii0000−ii000004-44-41-22-102i−2i1-2-120003-32i−2i00−ii2i−2i0000−ii0000−ii00000
χ334-44-41-22-102i−2i1-2-12000-332i−2i00−ii−2i2i0000−ii0000i−i000004-44-41-22-102i−2i1-2-12000-332i−2i00−ii−2i2i0000−ii0000i−i00000
χ344-44-41-22-10−2i2i1-2-120003-3−2i2i00i−i−2i2i0000i−i0000i−i000004-44-41-22-10−2i2i1-2-120003-3−2i2i00i−i−2i2i0000i−i0000i−i00000
χ354-44-41-22-10−2i2i1-2-12000-33−2i2i00i−i2i−2i0000i−i0000−ii000004-44-41-22-10−2i2i1-2-12000-33−2i2i00i−i2i−2i0000i−i0000−ii00000
χ364-4-2244-4-4000-2-222-4400000000000-220000000000000004-4-2244-4-4000-2-222-4400000000000-22000000000000000
χ3788-4-42-4-42044-12-1200000-2-200-2-2000000110000000000088-4-42-4-42044-12-1200000-2-200-2-20000001100000000000
χ3888-4-42-4-420-4-4-12-1200000220022000000-1-10000000000088-4-42-4-420-4-4-12-1200000220022000000-1-100000000000
χ3988-4-4-422-40002-12-10040000-2-20000000-2001100000000088-4-4-422-40002-12-10040000-2-20000000-20011000000000
χ4088-4-4-422-40002-12-100-40000220000000200-1-100000000088-4-4-422-40002-12-100-40000220000000200-1-1000000000
χ418-88-8-42-24000-424-20000000000000000000000000000008-88-8-42-24000-424-2000000000000000000000000000000
χ428-8-442-44-204i−4i-121-200000−2i2i00−2i2i000000i−i000000000008-8-442-44-204i−4i-121-200000−2i2i00−2i2i000000i−i00000000000
χ438-8-442-44-20−4i4i-121-2000002i−2i002i−2i000000−ii000000000008-8-442-44-20−4i4i-121-2000002i−2i002i−2i000000−ii00000000000
χ448-8-44-42-240002-1-21000000023−230000000000−330000000008-8-44-42-240002-1-21000000023−230000000000−33000000000
χ458-8-44-42-240002-1-210000000−232300000000003−30000000008-8-44-42-240002-1-210000000−232300000000003−3000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111-11111-1-11111111-111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-111-111
χ48111111111-1-1111111111-1-111-1-1-1-11111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111111-1-11
χ49111111111-1-1111111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1-1111111-111-1-1-11-1
χ5011111111-1111111111-1-1111111-1-111-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-11-111-1-1111
χ5111111111-111111111-1-1-111-1-111-1-111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-111-1111111-1-1
χ5211111111-1-1-11111111-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-11111-1
χ5311111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-11
χ54222222222002222-2-202200000000-2-2200000000000-200-2-2-2-2-2-2-2-2-200-2-2-2-2220-2-20000000022-200000000000200
χ5522222222-2002222-2-20-2-200000000-2-2-200000000000200-2-2-2-2-2-2-2-2200-2-2-2-2220220000000022200000000000-200
χ5622-1-12222022-1-1-1-122200-1-1-1-12200-1-102-1-1-1-10200-1-1000-2-211-2-2-2-20-2-21111-2-2-2001111-2-200110-211110-20011000
χ5722-1-12222022-1-1-1-122-200-1-1112200-1-10-2-1-1110-20011000-2-211-2-2-2-20-2-21111-2-220011-1-1-2-200110211-1-10200-1-1000
χ5822-1-122220-2-2-1-1-1-12220011-1-1-2-200-1-10211-1-10-20011000-2-211-2-2-2-20221111-2-2-200-1-1112200110-2-1-1110200-1-1000
χ5922-1-122220-2-2-1-1-1-122-2001111-2-200-1-10-211110200-1-1000-2-211-2-2-2-20221111-2-2200-1-1-1-122001102-1-1-1-10-20011000
χ602-22-222-2-200022-2-2-220000000002i−2i2-2000000002i−2i00000-22-22-2-222000-2-2222-2000000000−2i2i-2200000000−2i2i00000
χ612-22-222-2-200022-2-2-22000000000−2i2i2-200000000−2i2i00000-22-22-2-222000-2-2222-20000000002i−2i-22000000002i−2i00000
χ622-22-222-2-202i−2i22-2-22-20002i−2i002i−2i00-22002i−2i00000000000-22-22-2-2220−2i2i-2-222-22000−2i2i00−2i2i002-200−2i2i00000000000
χ632-22-222-2-20−2i2i22-2-22-2000−2i2i00−2i2i00-2200−2i2i00000000000-22-22-2-22202i−2i-2-222-220002i−2i002i−2i002-2002i−2i00000000000
χ642-2-1122-2-202i−2i-1-1112-2000−ii3−32i−2i001-100−ii3−30000−i3i3000-221-1-2-2220−2i2i11-1-1-22000i−i−33−2i2i00-1100i−i−330000i3−i3000
χ652-2-1122-2-202i−2i-1-1112-2000−ii−332i−2i001-100−ii−330000i3−i3000-221-1-2-2220−2i2i11-1-1-22000i−i3−3−2i2i00-1100i−i3−30000−i3i3000
χ662-2-1122-2-20−2i2i-1-1112-2000i−i3−3−2i2i001-100i−i3−30000i3−i3000-221-1-2-22202i−2i11-1-1-22000−ii−332i−2i00-1100−ii−330000−i3i3000
χ672-2-1122-2-20−2i2i-1-1112-2000i−i−33−2i2i001-100i−i−330000−i3i3000-221-1-2-22202i−2i11-1-1-22000−ii3−32i−2i00-1100−ii3−30000i3−i3000
χ6844441-2-214221-21-2000112200-1-12200-20-1-10000-1-100000-4-4-4-4-122-1-4-2-2-12-12000-1-1-2-20011-2-200201100001100000
χ6944441-2-214-2-21-21-200011-2-20011-2-200-201100001100000-4-4-4-4-122-1-422-12-12000-1-12200-1-1220020-1-10000-1-100000
χ7044441-2-21-4221-21-2000-1-12200-1-1-2-20020-1-100001100000-4-4-4-4-122-14-2-2-12-1200011-2-200112200-20110000-1-100000
χ7144441-2-21-4-2-21-21-2000-1-1-2-20011220020110000-1-100000-4-4-4-4-122-1422-12-12000112200-1-1-2-200-20-1-100001100000
χ724444-211-2400-21-21002-2-200220000001-100-1-12000000-10-4-4-4-42-1-12-4002-12-100-22200-2-2000000-110011-200000010
χ734444-211-2400-21-2100-2-2-200-2-2000000110011-200000010-4-4-4-42-1-12-4002-12-1002220022000000-1-100-1-12000000-10
χ744444-211-2-400-21-21002220022000000-1-100-1-1-200000010-4-4-4-42-1-124002-12-100-2-2-200-2-20000001100112000000-10
χ754444-211-2-400-21-2100-22200-2-2000000-1100112000000-10-4-4-4-42-1-124002-12-1002-2-200220000001-100-1-1-200000010
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-41-22-102i−2i1-2-120003-32i−2i00−ii2i−2i0000−ii0000−ii00000-44-44-12-210−2i2i-121-2000-33−2i2i00i−i−2i2i0000i−i0000i−i00000
χ784-44-41-22-102i−2i1-2-12000-332i−2i00−ii−2i2i0000−ii0000i−i00000-44-44-12-210−2i2i-121-20003-3−2i2i00i−i2i−2i0000i−i0000−ii00000
χ794-44-41-22-10−2i2i1-2-120003-3−2i2i00i−i−2i2i0000i−i0000i−i00000-44-44-12-2102i−2i-121-2000-332i−2i00−ii2i−2i0000−ii0000−ii00000
χ804-44-41-22-10−2i2i1-2-12000-33−2i2i00i−i2i−2i0000i−i0000−ii00000-44-44-12-2102i−2i-121-20003-32i−2i00−ii−2i2i0000−ii0000i−i00000
χ814-4-2244-4-4000-2-222-4400000000000-22000000000000000-442-2-4-44400022-2-24-4000000000002-2000000000000000
χ8288-4-42-4-42044-12-1200000-2-200-2-20000001100000000000-8-844-244-20-4-41-21-200000220022000000-1-100000000000
χ8388-4-42-4-420-4-4-12-1200000220022000000-1-100000000000-8-844-244-20441-21-200000-2-200-2-20000001100000000000
χ8488-4-4-422-40002-12-10040000-2-20000000-20011000000000-8-8444-2-24000-21-2100-40000220000000200-1-1000000000
χ8588-4-4-422-40002-12-100-40000220000000200-1-1000000000-8-8444-2-24000-21-210040000-2-20000000-20011000000000
χ868-88-8-42-24000-424-2000000000000000000000000000000-88-884-22-40004-2-42000000000000000000000000000000
χ878-8-442-44-204i−4i-121-200000−2i2i00−2i2i000000i−i00000000000-884-4-24-420−4i4i1-2-12000002i−2i002i−2i000000−ii00000000000
χ888-8-442-44-20−4i4i-121-2000002i−2i002i−2i000000−ii00000000000-884-4-24-4204i−4i1-2-1200000−2i2i00−2i2i000000i−i00000000000
χ898-8-44-42-240002-1-21000000023−230000000000−33000000000-884-44-22-4000-212-10000000−232300000000003−3000000000
χ908-8-44-42-240002-1-210000000−232300000000003−3000000000-884-44-22-4000-212-1000000023−230000000000−33000000000

Here i is the imaginary unit (i² = −1).